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Noncommutative Symmetric Functions and Lagrange Inversion

Jean-Christophe Novelli·Jean-Yves Thibon
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Abstract

We compute the noncommutative Frobenius characteristic of the natural action of the 0-Hecke algebra on parking functions, and obtain as corollaries various forms of the noncommutative Lagrange inversion formula.

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Jean-Christophe Novelli, Jean-Yves Thibon. 2006-01-13. Noncommutative Symmetric Functions and Lagrange Inversion. https://arxiv.org/abs/math/0512570

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